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Finding the Fourth Proportional to 1,853.12, 2,778 and 1,440

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Solution

The fourth proportional to 1,853.12, 2,778 and 1,440 is: 2,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.12 : 2,778 = 1,440 : x
  2. Step 2: Convert to fraction form
    1,853.12/2,778 = 1,440/x
  3. Step 3: Cross multiply
    1,853.12x = 2,778 × 1,440
  4. Step 4: Simplify right side
    1,853.12x = 4,000,320
  5. Step 5: Solve for x
    x = 4,000,320/1,853.12
  6. Step 6: Final answer
    x = 2,158.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.